Professional Couple looking for Flat

Hi there! We are Gemma and Nick and we are looking to move to ideally a privately rented apartment property within the general south east london area in the first week of September. I have some small pieces of furniture but a LOT of books so all we really need is a bed preferably with underneath hidden storage, maybe a desk and wardrobes. We are both British and are self employed. Nick works in IT Sales and Gemma is a wigmaker for TV, film, theatre and also private medical patients, so often work for long hours on our own at home with a good box-set on in the background! We are both very tidy and considerate, and are very adaptable in terms of available amenities, but would like a property that has all white goods included and would prefer a location with decent transport links.